4x+5(x-7)=4(x-5)

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Solution for 4x+5(x-7)=4(x-5) equation:


Simplifying
4x + 5(x + -7) = 4(x + -5)

Reorder the terms:
4x + 5(-7 + x) = 4(x + -5)
4x + (-7 * 5 + x * 5) = 4(x + -5)
4x + (-35 + 5x) = 4(x + -5)

Reorder the terms:
-35 + 4x + 5x = 4(x + -5)

Combine like terms: 4x + 5x = 9x
-35 + 9x = 4(x + -5)

Reorder the terms:
-35 + 9x = 4(-5 + x)
-35 + 9x = (-5 * 4 + x * 4)
-35 + 9x = (-20 + 4x)

Solving
-35 + 9x = -20 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-35 + 9x + -4x = -20 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-35 + 5x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-35 + 5x = -20 + 0
-35 + 5x = -20

Add '35' to each side of the equation.
-35 + 35 + 5x = -20 + 35

Combine like terms: -35 + 35 = 0
0 + 5x = -20 + 35
5x = -20 + 35

Combine like terms: -20 + 35 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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